An approximation theorem for Dubrovin valuation rings

DOI10.1007/BF02571375zbMath0713.16010MaRDI QIDQ749629

Patrick J. Morandi

Publication date: 1991

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174256

zbMATH Keywords

localizationcentral simple algebraapproximation theoremDubrovin valuation ringsdivision algebraBézout ringright idealPrüfer ringstotal valuation ring

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Valuations and their generalizations for commutative rings (13A18) Ideals in associative algebras (16D25)

Related Items (7)

Integral semihereditary orders inside a Bézout maximal order ⋮ Extending rings of Prüfer type in central simple algebras. ⋮ Witt rings of even degree division algebras over number fields ⋮ On semilocal, Bézout and distributive generalized power series rings ⋮ On the intersection property of Dubrovin valuation rings ⋮ Maximal orders over valuation rings ⋮ Value functions and Dubrovin valuation rings on simple algebras

Cites Work

• Unnamed Item
• Lokalinvariante Bewertungen. (Locally invariant valuations)
• Dubrovin valuation rings and Henselization
• Valuation rings in finite-dimensional division algebras
• PI-algebras. An introduction
• Rings with a distributive lattice of right ideals
• Valuation theory
• Noncommutative Prüfer rings
• Value Functions on Central Simple Algebras

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